By how many years is Rasika younger than her brother Sunil?
I. Ratio between Risika's present age and Sunil's age after four years is `5:7` respectively.
II. Ratio between Rasika's age fur years ago and Sunil's present age is `2:3` respectively.

Options

A. if the data in statement I alone are sufficient to answer the questin, while the data in statement II alone are not sufficient to answer the question.
B. if the data in statement Ii alone are sufficient to answer the questin, while the data in statemetn I alone are not suffcient to answer the question.
C. id the data in both statements I and II alone are surfficient to answer the question.
D. if the data in both statements I and II together are not sufficient to answer the question.

Explanation

Rashika's present age :(Sunil's [present +4)
`=5:7" "…(i)`
Rasika's age - 4 Sunil's present age
`2:3" "…(ii)`
`(R )/(S+4)=5/7`
`7R=55+20`
`7R-5S+20" "…(i)`
`(R-4)/(S)=2/3`
`3R-12=2S`
`3R=2S+12" "...(ii)`
By solving Eqs. (i) and (ii), we get
R = 20 and S=24
`therefore` Rasika is 4 years younger than her brother Sunil.